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Finding the Third Proportional to 365,514.75 and 778,380.75

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Solution

The third proportional to 365,514.75 and 778,380.75 is: 1,657,598.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,514.75 : 778,380.75 = 778,380.75 : x
  2. Step 2: Convert to fraction form
    365,514.75/778,380.75 = 778,380.75/x
  3. Step 3: Cross multiply
    365,514.75x = 778,380.75 × 778,380.75
  4. Step 4: Simplify right side
    365,514.75x = 605,876,591,970.56
  5. Step 5: Solve for x
    x = 605,876,591,970.56/365,514.75
  6. Step 6: Final answer
    x = 1,657,598.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.